10093487040 has 672 divisors, whose sum is σ = 45000184320. Its totient is φ = 2016534528.

The previous prime is 10093487023. The next prime is 10093487057. The reversal of 10093487040 is 4078439001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10093487023) and next prime (10093487057).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10093486986 and 10093487004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4978507 + ... + 4980533.

It is an arithmetic number, because the mean of its divisors is an integer number (66964560).

Almost surely, 2^10093487040 is an apocalyptic number.

10093487040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10093487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22500092160).

10093487040 is an abundant number, since it is smaller than the sum of its proper divisors (34906697280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10093487040 is a wasteful number, since it uses less digits than its factorization.

10093487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10093487040 in words is "ten billion, ninety-three million, four hundred eighty-seven thousand, forty".